Add the proper constant to the binomial so that the resulting trinomial is a perfect square. Then factor the trinomial.
n-18n+

The number of pets per capita is 0.24

Given,

Number of pets in a town = 11,357

Population of the town = 47,500

We have to find the number of pets per capita;

Per capita;-

The Latin phrase "per capita" means "by head." It is used to calculate the average for each individual in a certain measurement. Per capita is frequently used, for instance, to calculate a population's per capita gross domestic product (GDP).

Here,

Number of pets per capita = Number of pets / Population

Number of pets per capita = 11,357 / 47,500

Number of pets per capita = 0.24

That is,

The number of pets per capita is 0.24

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Answer:

The value of x=35 and the co-ordinates at the top of the chair lift are (35,20).

What are co-ordinates?

Step-by-step explanation:

Given:

    20 = 1/2x + 5/2

20 * 2 = x + 5

     40 = x + 5

        x = 35

Therefore, the co-ordinates of the chair at the top of the chair lift are (35,20)

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The probability that exactly 10 people will show up is 0.230

Let X measure the number of people (out of 12) who show up for a flight. For each passenger

we have a 90% chance of showing up, so X is a binomial random variable with n = 12 and p = 0.90.

(b) Everyone gets a seat when X ≤ 10. We have to find the probability when exactly 10 people show up for the flight , so we use the binomial probability for P(10)

∴ P(10) = [tex]C^{n} _{x} p^{x}(1-p)^{n-x}[/tex]

P(10) = 0.230

So , the probability that exactly 10 people show up for the flight is 0.230 .

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Answer:

x= 3.4

x+2= 5.4

x+3= 6.4

Step-by-step explanation:

Just figured it out :)

By studying the change of the y-intercept, we can see that the shift is of one unit upwards.

We know that the original y-intercept of the line is y = -1, then the line is of the form:

y = a*x - 1

Where a is the slope.

Now we apply a vertical shift of N units, this is written as:

y = a*x - 1 + N

And we know that the new y-intercept is 0, so:

y = a*0 - 1 + N = 0

y = -1 + N = 0

-1 + N = 0

N = 1

The shift is of 1 unit up.

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The time taken to reach the maximum height is 1.25 seconds and the maximum height is 32 feet

The function is given that

h(t) =  + 40t + 7

Where h is the height

t is the time taken

We know

[tex]-16t^2[/tex] + bx + c = 0

Compare the equations

a = -16

b = 40

c = 7

Compare both the equation

Time taken to reach maximum height = - b/2a

= - 40/2(-16)

= - 40/-32

= 5/4

= 1.25 seconds

Time taken to reach maximum height is t = 1.25 seconds

Substitute the value of t in the function to find the maximum height

h(1.25) = -16× + 40(1.25) + 7

= -25 + 50 + 7

= 32 feet

Hence, the time taken to reach the maximum height is 1.25 seconds and the maximum height is 32 feet

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Since each input is mapped to only one output, the best description of the ordered pairs is given by:

B. both a relation and a function.

When does a relation represents a function?

A relation represents a function if each value of the input is mapped to only one value of the output.

For a point in the format (x, y), we have that:

=> x is the input.

=> y is the output.

=> The meaning is that the input x is mapped to the output y.

For this problem, the points are given as follows:

(-2, -1), (1, -4), (5, -8), (9, -12)

Each input is mapped to only one input, that is, there are no repeated values of x, hence the best description of the ordered pairs is given by:

B. both a relation and a function.

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Answer:

The first measurement is known as the "P-R interval" and is measured from the beginning of the upslope of the P wave to the beginning of the QRS wave. This measurement should be 0.12-0.20 seconds, or 3-5 small squares in duration.

Step-by-step explanation:

...

BC is the common side of both the triangles.

Answer:

BC

Step-by-step explanation:

Common side in both triangles is BC

    Sides of ΔABC,

                   AB ;  BC  and AC

   Sides of ΔDCB,

                  DC, BC and DB

Answer:

x =11

Step-by-step explanation:

report this so that girl in the comments can give you an answer

Answer: -50

Step-by-step explanation:

The probability of the randomly selected bank being a) guilty of fraud is 0.1 and b) guilty of fraud, it is given it is a private bank is 0.15

Here

let A be the event of the Bank being a fraud

Let B be the event of the bank being private

Here we see that 100 banks have been sampled.

a)

Probability = no. of favorable outcomes/total no. of outcomes

Here we see that under the row of Bank Fraud and Yes section there are

6 + 4

= 10 banks.

Hence,

n(A) = 10

n = 100

Therefore,

P(A) = 10/100

= 0.1

b)

The conditional Probability

P(X|Y) = P(X ∩ Y) / P(Y)

Here,

we need to find the bank is a fraud given that it is a private bank. Hence we need to find,

P(A|B)

= P(A ∩ B) / P(B)

Here we see that the private banks that are fraud are given to be 6.

Hence,

n(A ∩ B) = 6

Therefore,

P(A ∩ B) = 6/100

n(B) = 6 + 34 = 40

P(B) = 40/100

Hence P(A|B) = (6/100) / (40/100

= 6/40

= 3/20

= 0.15

Complete Question

(Information attached as an image)

if an audit company picks a bank at random for audit what is the probability that a bank

(a) is guilty of fraud?

(b) is guilty of fraud given it is a private bank?

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Answer:

plsssssssssssssssssssssssssssssssssss

By using the vertex and the given point, we will see that the graphed quadratic equation is:

y = -(x - 2)^2 + 4

A quadratic equation with a leading coefficient a and a vertex (h, k) can be written as:

y = a*(x - h)^2 + k

Here the vertex is (2, 4), replacing that we get:

y = a*(x - 2)^2 + 4

Now we also can see that the line passes through the point (0, -8), replacing these values we get:

-8 = a*(0 - 2)^2 - 4

-8 = 4a - 4

-8 + 4 = 4a

-4 = 4a

-4/4 = a

-1 = a

The quadratic equation is:

y = -(x - 2)^2 + 4

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Answer:

Value of x is 1440

Step-by-step explanation:

According to the question,

720 ÷ 50 gives same answer as x ÷ 100

[tex] \therefore[/tex]

[tex] \rm \implies \dfrac{720}{50} = \dfrac{x}{100} \\ \\ \rm \implies x = \frac{720}{50} \times 100 \\ \\ \rm \implies x = 720 \times 2 \\ \\ \rm \implies x = 1440[/tex]

Answer:

$6.72

Step-by-step explanation:

1 us liquid pint =2 us cups

3.36*2 cups

Answer:

x = 41.5

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

sum the 3 angles and equate to 180

2x + 9 + x + 13 + x - 8 = 180 , that is

4x + 14 = 180 ( subtract 14 from both sides )

4x = 166 ( divide both sides by 4 )

x = 41.5

⇒The sum of the interior angles of a triangle is 180°

⇒Meaning (2x+9)°+(x-8)°+(x+13)°=180°

⇒Simplify the above equation to find the value of x.

⇒[tex]2x+x+x+9-8+13=180\\4x+14=180\\4x=180-14\\4x=166\\\frac{4x}{4} =\frac{166}{4} \\x=41.5[/tex]

∴ x=41.5

The formula that plots the radius against the area of such water puddle here on floor; A = πr².

For the given question,

Let the area of the water puddle on the floor be 'A'.

Let the radius of the water puddle be 'r'.

Then, using the area of the circle,

The function for the area of the water puddle be,

A = πr²

Thus, the formula that plots the radius against the area of such water puddle here on floor; A = πr².

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D( x ) function and also a rule for the set of points (5, 10), (6, 12), and (-2, -4). Both the statment is true.

Given that,
Among the options which statment best represents the expression D(x) = 2x is to be determined.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

here,
D(x) = 2x

As from the observation D(x) is a function of the independent variable x.
Also,
At x = 5, 6, -2
D(x) = 10, 12, -4
So it is also a rule for the set of points (5, 10), (6, 12), and (-2, -4).

Thus, the D( x ) function and also a rule for the set of points (5, 10), (6, 12), and (-2, -4). Both the statment is true.

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Step-by-step explanation:

you made a typo.

since we are using only the digits 1, 3, 6 and 9, the list has to start

1, 3, 6, 9, 11, 13, 16, 19, 31, 33

it has to continue with

36, 39

we can skip the 40s and 50s and have then

61, 63, 66, 69

we can skip the 70s and 80s and have then

91, 93, 96, 99

that means we have 20 (5×4) numbers for the first 100.

we would have the corresponding 20 numbers in the 100s. like 101, 103, ...

but we have to skip 101, 103, 106, 109, because they contain 0.

so, it is only 16 numbers in the 100s.

there are none in the 200s.

then again 16 in the 300s. and the 600s and 900s.

so, we have

20 + 4×16 = 84 numbers in the first 1000.

then we have

16 in each the 1100s, the 1300s, the 1600s and 1900s.

and we have none in the 2000s.

so, in total we have

84 + 4×16 = 84 + 64 = 148 numbers to write.

Stratified random sampling was the technique employed by Homer to choose his sample.

Given case;

Homer Simpson is fascinated with the proportion of the different sprinkled colors on lard lad doughnuts. Homer buys three of each type of donut they produce and counts the sprinkles on them to perform his research.

The method did homer use to select his sample is stratified random sampling. Because each variety is a stratum.

From there 3 3 samples are collected.

Stratified random sampling:

A crucial aspect of the sampling strategy known as stratified random sampling is the stratification of a population into smaller subgroups known as strata. During stratified random sampling, the strata are created based on the shared traits or features of the participants, such as level of education or income. Numerous uses and advantages of stratified random sampling include examining life expectancy and population demography.

The terms proportionate random sampling and quota random sampling are also used to describe stratified random sampling.

The method did homer use to select his sample is stratified random sampling.

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Using proportions, the amounts are given as follows:

a) Number of weeks: 17.

b) Number of fortnights: 8.5.

a) Number of days studied: 51.

b) Number of hours studied: 102.

A proportion is a fraction of a total amount, and this fraction is used to build relations, using basic arithmetic operations such as multiplication or division, to obtain the desired measures in the context of a problem.

Using a calendar, the number of weeks between these two dates is of:

17.

A fortnight is composed by two weeks, hence the number of fortnights is:

17/2 = 8.5.

You studied 3 days a week, hence the number of days studying was of:

17 x 3 = 51 days.

You studied 2 hours a hence, hence the number of hours studying was of:

51 x 2 = 102 hours.

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The corresponding measure of each angle is 80, 80, 80, 100 and 100 degrees

Given: m<7=100 degrees

To find <6, <8, <2, <5 and <11

In the <7 is vertically opposite <5. Since vertically opposite angles are equal.

Thus, <5 =  <7 =   100 degrees

Also,  <5 and <6 are angles on a straight, and the sum of angles on a straight line is 180 degrees. Thus:

<5 + <6 = 180

100 + <6 = 180

<6 = 180 -100 = 80 degrees

Also, <6  and <8 are vertically opposite.

Thus, <8 = <6 = 80 degrees

<2 and <6 are corresponding angles, and corresponding angles are equal. Thus, <2 = <6 = 80 degrees

Likewise, <11 and <7 are corresponding angles

Thus, <11 = <7 = 100 degrees

Therefore, the measure of angle <6, <8, <2, <5 and <11 are 80, 80, 80, 100 and 100 degrees respectively

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The concurrency statement for the given triangles is that (D) △RGB ≅ △DCS  under ASA condition.

So, the congruence statement of the given 2 triangles is as follows:

△RGB ≅ △DCS

Hence, △RGB ≅ △DCS  under ASA condition.

Therefore, the concurrency statement for the given triangles is that (D) △RGB ≅ △DCS  under ASA condition.

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Answer:  [tex]y=\frac{3}{4} x[/tex]

Step-by-step explanation:

        We will create a point-slope equation to solve.

        First, we need to find the slope.

[tex]\displaystyle \frac{y_2-y_1}{x_2-x_1}= \frac{6--3}{8--4} =\frac{9}{12} =\frac{3}{4}[/tex]

        Next, we will create our point-slope equation.

[tex]\displaystyle y-y_1=m(x-x_1)[/tex]

[tex]\displaystyle y--3=\frac{3}{4} (x--4)[/tex]

 [tex]\displaystyle y+3=\frac{3}{4} (x+4)[/tex]

 [tex]\displaystyle y=\frac{3}{4} x+3 -3[/tex]

 [tex]\displaystyle y=\frac{3}{4} x[/tex]

The rate of change in height when height is 6 inches is 2.37 inches per second approximately.

We know that the volume of cube with length L, width W and height H is given by,

V = L*B*H

So given that the length is 15 inches

the width is 16 inches

Let the height be h inches.

So now the volume is given by,

V = 15*16*h

Differentiating the volume with respect to time 't' we get,

dV/dt = 15*16 dh/dt

Now given that the rate of change in volume per second is 569 cubic inches.

So, dV/dt = 569

So, 15*16 dh/dt = 569

dh/dt = 569/(15*16) = 569/240 = 2.37 (approx)

So the rate of change in height is 2.37 inches approximately.

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Answer:

x = 52°

y = 25°

z = 90°

Step-by-step explanation:

        We know there are 180 degrees in a triangle. The box represents 90 degrees.

90° + x + 38° = 180°

x + 128° = 180°

x = 52°

        Next, we know that a straight line is equal to 180 degrees. Again, the box represents 90 degrees.

90° + z = 180°

z = 90°

        Lastly, we will use the same process for angle x, but for angle y.

y + z + 65° = 180°

y + 90° + 65° = 180°

y + 155° = 180°

y = 25°

Answer:

Step-by-step explanation:

Answer:1. 8

2. 16

Step-by-step explanation:

The volume of the sphere is 7241.142 m[tex]m^{3}[/tex].

Given:

A sphere has a diameter of 24 mm.

Radius r = diameter/2

= 24/2

r = 12 mm.

volume of sphere = 4/3π[tex]r^{3}[/tex]

= 4/3 * 22/7 * [tex]12^{3}[/tex]

= 88*[tex]12^{3}[/tex]/21

= 88*1728/21

= 152064/21

= 7241.142 m[tex]m^{3}[/tex].

Therefore the volume of the sphere is 7241.142 m[tex]m^{3}[/tex].

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24 meters per second = 53.6865 miles per hour

53.6865 to 1 d.p = 53.7

Answer: 53.7